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Course11210530860 lectures

Finite Element Method

Prof. Biswanath Banerjee and Prof. Amit Shaw · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

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  1. Lecture 01: Introduction Video
  2. Lecture 02: Introduction (Contd.) Video
  3. Lecture 03: Introduction (Contd.) Video
  4. Lecture 04: Introduction (Contd.) Video
  5. Lecture 05: Introduction (Contd.) Video

week-02

  1. Lecture 06: Elements of Calculation of Variations - I Video
  2. Lecture 07: Elements of Calculation of Variations - II Video
  3. Lecture 08: Elements of Calculation of Variations - III Video
  4. Lecture 09: Strong Form and Weak Form Video
  5. Lecture 10: Rayleigh - Ritz Method - I Video
  6. Lecture 11: Rayleigh - Ritz Method - II Video

week-03

  1. Lecture 12: Weighted Residual Method Video
  2. Lecture 13: Weighted Residual Method - Example Video
  3. Lecture 14 : Concepts of Element and Axial Bar Problem Video
  4. Lecture 15: Axial Bar Problem Video
  5. Lecture 16: Axial Bar - II Video

week-04

  1. Lecture 17: Beam Formulation Video
  2. Lecture 18: Beam Stiffness Matrix Video
  3. Lecture 19: Problems Video
  4. Lecture 20: Beam Column Video
  5. Lecture 21: Problem Video

week-05

  1. Lecture 22: Share Deformable Beam Theory Video
  2. Lecture 23: Weak Form and Discretization Video
  3. Lecture 24: Reduced Integration Based Stiffness Matrix Video
  4. Lecture 25: Problem Video
  5. Lecture 26: Problem (Contd.) Video

week-06

  1. Lecture 27: Element of Formulation Video
  2. Lecture 28: Analysis of Plane Truss Video
  3. Lecture 29: Analysis of Plane Truss (Computer Implementation) Video
  4. Lecture 30: Analysis of Euler-Bernoulli Beam (Computer Implementation) Video
  5. Lecture 31: Analysis of Plane Frame (Computer Implementation) Video

week-07

  1. Lecture 32: Introduction to FEM in 2D Video
  2. Lecture 33: Continuity and Completeness Video
  3. Lecture 34: Shape Functions Video
  4. Lecture 35: Numerical Integration (Gaussian Quadrature) Video
  5. Lecture 36: Gaussian Quadrature in two dimension Video
  6. Lecture 37 : Weak Form Video

week-08

  1. Lecture 38 : Example Video
  2. Lecture 39 : Iso-Parametric Formulation Video
  3. Lecture 40 : Example with Quadrilateral Element Video
  4. Lecture 41 : Computer Implementation Video

week-09

  1. Lecture 42: 2D Elasticity and Weak Form Video
  2. Lecture 43: Weak Form and Matrix Formulation Video
  3. Lecture 44: Weak Form to Matrix Form Video
  4. Lecture 45: Problems Video
  5. Lecture 46: Thermoelastic Problem Video

week-10

  1. Lecture 47: Torsion Video
  2. Lecture 48: Triangular Elements Video
  3. Lecture 49: Triangular Elements (Contd.) Video
  4. Lecture 50: Examples and Computer Implementation Video
  5. Lecture 51: Examples and Computer Implementation (Contd.) Video

week-11

  1. Lecture 52: Shear Locking Video
  2. Lecture 53: Selective reduced Integration and Modes of Q4 Element Video
  3. Lecture 54: Incompatible Elements Video
  4. Lecture 55: Nearly Incompressible Material Video
  5. Lecture 56: B-Bar Method Video

week-12

  1. Lecture 57: B-Bar Method Video
  2. Lecture 58: Different Elements Video
  3. Lecture 59: Iso-parametric Formulation and Guass Quadrature Video
  4. Lecture 60: Closure Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mechanical Engineering
Taught by
Prof. Biswanath Banerjee, Prof. Amit Shaw
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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